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Restrictions to Invariant Subspaces of Composition Operators on the Hardy Space of the Disk
composition operator hardy semigroup
2015/1/19
Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as cert...
关于Hardy-Hilbert(算子)不等式的新改进
Hardy-Hilbert不等式 线性算子 内积 权系数 双线性算子不等式 Hlder不等式
2012/11/23
利用加强的Hlder不等式对一个双线性算子不等式作了改进，建立了一些新的不等式.
In the setting of spaces of homogeneous type, we give a direct proof of the local Tb theorem for singular integral operators. Motivated by questions of S. Hofmann, we extend it to the case when the i...
本文引入单参数$\lambda,$利用$\beta$函数,建立Hardy--Hilbert 不等式与Mulholland不等式的一个具有最佳常数因子的联系式.$\hbox{作为应用,给出它的等价形式及一些特殊结果.}$
Strongly Singular Integral Operators On Weighted Hardy Space
Strongly singular Calder\'{o}n--Zygmund operatorsStrongly singular Calder\'{o}n--Zygmund operators Hardy spaces $A_p$ weight
2007/12/12
In this paper, we obtain that a strongly singular integral operator is bounded on $L^p_w$ space for $1hat a strongly singular integral operator is a bounded operator from $...
Biharmonic Equation and an Improved Hardy Inequality
Biharmonic equation Hardy inequality nontrivial solution
2007/12/12
An improved Hardy inequality will be proven in thepresent work. Using the improved Hardy inequality and variationaltechniques, we also discuss the existence of nontrivial solutionfor following the we...
一个推广的Hardy--Hilbert型不等式及其逆式
Hardy--Hilbert型不等式 权系数 Beta函数
2007/12/11
本文引入单参数$\lambda$及应用Beta函数, 给一个Hardy--Hilbert型不等式以具有最佳常数因子的推广. 作为应用, 给出了它的逆向形式.
文章得到了Heisenberg型群上的几类Hardy型不等式,并确定出了次Laplace算子的Hardy型不等式中的最佳常数.
带参数的Hardy-Hilbert型不等式的精化
Hardy-Hilbert不等式 Holder不等式 &beta 函数
2012/11/20
利用加强的Hlder不等式对Hardy-Hilbert型不等式做了改进，建立了一些新的形如∞n=0∞m=0（ａｍｂｎ）/（（２ｍ＋１）λ＋（２ｎ＋１）λ）＜π/（２λｓｉｎ（π／ｐ））｛〗∞m=0（２ｍ＋１）ｐ－１－λａｐｍ｝１/ｐ｛∞n=0（２ｎ＋１）ｑ－１－λｂｑｎ｝１/ｑ（１－Ｒ）ｋ的不等式.
一个Hardy-Hilbert 类不等式的一个改进
Hardy-Hilbert不等式 Cauchy不等式 权系数
2012/11/27
利用改进了的Cauchy不等式对1个类似于Hardy-Hilbert不等式的不等式作了改进.建立了1个新的不等式：〖ＤＤ（〗∞〖〗ｎ＝１〖ＤＤ）〗〖ＤＤ（〗∞〖〗ｍ＝１〖ＤＤ）〗〖ＳＸ（〗ａｍｂｎ〖〗ｌｎ ｍ＋ｌｎ ｎ＋１〖ＳＸ）〗＜π〖ＪＢ（｛〗〖ＤＤ（〗∞〖〗ｎ＝１〖ＤＤ）〗ｎａ２ｎ〖ＤＤ（〗∞〖〗ｎ＝１〖ＤＤ）〗ｎｂ２ｎ〖ＪＢ）｝〗１／２（１－Ｒ）１／２．其中Ｒ＝〖ＪＢ（（〗〖ＳＸ（...
Some three-term and mixed three-term relations for Hardy sums were given by Goldberg [7]. His proofs are based on Bernd's transformation formulae for the logarithms of the classical Theat-functions. P...